Question

In figure, what value of y will make POQ a straight line?​

Answer 1

Answer:

The answer is 40

Step-by-step explanation:

2y-25+3y+5=180 degree(linear pair)

5y-20=180

5y=180+20

5y=200

y=200/5

Therefore y=40

Answer 2

Given:-

• $\rm{\angle{ROP} =( 2y - 25^{\circ})}$

• $\rm{\angle{ROQ} = ( 3y + 5^{\circ})}$

To Find:-

• The Value of y.

Concept Used:-

• In a straight line sum of all the angles is equal to 180°.

Now,

$\implies\rm{ \angle{ROP} + \angle{ROQ} = 180^{\circ}}$

$\implies\rm{ (2y - 25) + (3y + 5) = 180}$

$\implies\rm{ 5y - 20 = 180}$

$\implies\rm{ 5y = 180 + 20}$

$\implies\rm{ 5y = 200}$

$\implies\rm{ y = \dfrac{\cancel{200}}{\cancel{5}}}$

$\implies\rm{ y = 40^{\circ}}$.

Hence, The Value of y is 40°.

So,

$\implies\sf{ \angle{POR} = (2y - 25) = 55^{\circ}}$

$\implies\sf{\angle{ROQ} = (3y + 5) = 125^{\circ}}$.